CoChat
Sign Up
Cited by 87

The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.

Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice

Gulevich, D. R., Yudin, D., Skryabin, D. V., Iorsh, I. V., Shelykh, I. A.·2017·Scientific Reports
DOI 10.1038/s41598-017-01646-yPMC PMC5431788
Open this paper in CoChat — free account

Abstract

Matter in nontrivial topological phase possesses unique properties, such as support of unidirectional edge modes on its interface. It is the existence of such modes which is responsible for the wonderful properties of a topological insulator – material which is insulating in the bulk but conducting on its surface, along with many of its recently proposed photonic and polaritonic analogues. We show that exciton-polariton fluid in a nontrivial topological phase in kagome lattice, supports nonlinear excitations in the form of solitons built up from wavepackets of topological edge modes – topological edge solitons. Our theoretical and numerical results indicate the appearance of bright, dark and grey solitons dwelling in the vicinity of the boundary of a lattice strip. In a parabolic region of the dispersion the solitons can be described by envelope functions satisfying the nonlinear Schrödinger equation. Upon collision, multiple topological edge solitons emerge undistorted, which proves them to be true solitons as opposed to solitary waves for which such requirement is waived. Importantly, kagome lattice supports topological edge mode with zero group velocity unlike other types of truncated lattices. This gives a finer control over soliton velocity which can take both positive and negative values depending on the choice of forming it topological edge modes.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/s41598-017-01646-y

Cites

6 of 6 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Flagged first, then by citations

Show all 6 references

Research works printed but not linked: 50

  1. Kane, C. L. & Mele, E. J. Quantum spin hall effect in graphene. Phys. Rev. Lett. 95, 226801, doi:10.1103/PhysRevLett.95.226801 (2005). · DOI · Paper page
  2. Bernevig, B. A., Hughes, T. L. & Zhang, S. C. Quantum spin hall effect and topological phase transition in hgte quantum wells. Science 314, 1757–61, doi:10.1126/science.1133734 (2006). · DOI · Paper page
  3. Raghu, S. & Haldane, F. D. M. Analogs of quantum-hall-effect edge states in photonic crystals. Phys. Rev. A 78, 033834, doi:10.1103/PhysRevA.78.033834 (2008). · DOI · Paper page
  4. Haldane, F. & Raghu, S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett. 100, 013904, doi:10.1103/PhysRevLett.100.013904 (2008). · DOI · Paper page
  5. Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nature Physics 7, 907–912, doi:10.1038/nphys2063 (2011). · DOI · Paper page
  6. Fang, K., Yu, Z. & Fan, S. Realizing effective magnetic field for photons by controlling the phase of dynamic modulation. Nature Photonics 6, 782–787, doi:10.1038/nphoton.2012.236 (2012). · DOI · Paper page
  7. Khanikaev, A. B. et al. Photonic topological insulators. Nature Materials 12, 233–239, doi:10.1038/nmat3520 (2013). · DOI · Paper page
  8. Lu, L., Joannopoulos, J. D. & Soljačic′, M. Topological photonics. Nature Photonics 8, 821–829, doi:10.1038/nphoton.2014.248 (2014). · DOI · Paper page
  9. Carusotto, I. & Ciuti, C. Quantum fluids of light. Reviews of Modern Physics 85, 299–366, doi:10.1103/RevModPhys.85.299 (2013). · DOI · Paper page
  10. Cerda-Méndez, E. A. et al. Polariton condensation in dynamic acoustic lattices. Phys. Rev. Lett. 105, 116402, doi:10.1103/PhysRevLett.105.116402 (2010). · DOI
  11. Kim, N. Y. et al. Exciton–polariton condensates near the dirac point in a triangular lattice. New Journal of Physics 15, 035032, doi:10.1088/1367-2630/15/3/035032 (2013). · DOI
  12. Baboux, F. et al. Bosonic condensation and disorder-induced localization in a flat band. Phys. Rev. Lett. 116, 066402, doi:10.1103/PhysRevLett.116.066402 (2016). · DOI
  13. Liew, T., Shelykh, I. & Malpuech, G. Polaritonic devices. Physica E 43, 1543–1568, doi:10.1016/j.physe.2011.04.003 (2011). · DOI
  14. D. Sanvitto, D. & Kéna-Cohen, S. The road towards polaritonic devices. Nature Materials 15, 1061–1073, doi:10.1038/nmat4668 (2016). · DOI
  15. Karzig, T., Bardyn, C.-E., Lindner, N. H. & Refael, G. Topological polaritons. Phys. Rev. X 5, 031001, doi:10.1103/PhysRevX.5.031001 (2015). · DOI
  16. Bardyn, C.-E., Karzig, T., Refael, G. & Liew, T. C. H. Topological polaritons and excitons in garden-variety systems. Phys. Rev. B 91, 161413, doi:10.1103/PhysRevB.91.161413 (2015). · DOI
  17. Nalitov, A. V., Solnyshkov, D. D. & Malpuech, G. Polariton ℤ topological insulator. Phys. Rev. Lett. 114, 116401, doi:10.1103/PhysRevLett.114.116401 (2015). · DOI
  18. Yi, K. & Karzig, T. Topological polaritons from photonic dirac cones coupled to excitons in a magnetic field. Phys. Rev. B 93, 104303, doi:10.1103/PhysRevB.93.104303 (2016). · DOI
  19. Bardyn, C.-E., Karzig, T., Refael, G. & Liew, T. C. H. Chiral bogoliubov excitations in nonlinear bosonic systems. Phys. Rev. B 93, 020502, doi:10.1103/PhysRevB.93.020502 (2016). · DOI · Paper page
  20. Janot, A., Rosenow, B. & Refael, G. Topological polaritons in a quantum spin hall cavity. Phys. Rev. B 93, 161111, doi:10.1103/PhysRevLett.111.230403 (2016). · DOI
  21. Gulevich, D. R., Yudin, D., Iorsh, I. V. & Shelykh, I. A. Kagome lattice from an exciton-polariton perspective. Phys. Rev. B 94, 115437, doi:10.1103/PhysRevB.94.115437 (2016). · DOI
  22. Lumer, Y., Plotnik, Y., Rechtsman, M. C. & Segev, M. Self-localized states in photonic topological insulators. Phys. Rev. Lett. 111, 243905, doi:10.1103/PhysRevLett.111.243905 (2013). · DOI
  23. Ostrovskaya, E. A., Abdullaev, J., Fraser, M. D., Desyatnikov, A. S. & Kivshar, Y. S. Self-localization of polariton condensates in periodic potentials. Phys. Rev. Lett. 110, 170407, doi:10.1103/PhysRevLett.110.170407 (2013). · DOI
  24. Hadad, Y., Khanikaev, A. B. & Alù, A. Self-induced topological transitions and edge states supported by nonlinear staggered potentials. Phys. Rev. B 93, 155112, doi:10.1103/PhysRevB.93.155112 (2016). · DOI
  25. Bleu, O., Solnyshkov, D. D. & Malpuech, G. Interacting quantum fluid in a polariton chern insulator. Phys. Rev. B 93, 085438, doi:10.1103/PhysRevLett.118.023901 (2016). · DOI · Paper page
  26. Kartashov, Y. V. & Skryabin, D. V. Two-dimensional lattice solitons in polariton condensates with spin-orbit coupling. Opt. Lett. 41, 5043–5046, doi:10.1364/OL.41.005043 (2016). · DOI
  27. Gulevich, D. R., Skryabin, D. V., Alodjants, A. P. & Shelykh, I. A. Topological spin meissner effect in spinor exciton-polariton condensate: Constant amplitude solutions, half-vortices, and symmetry breaking. Phys. Rev. B 94, 115407, doi:10.1103/PhysRevB.94.115407 (2016). · DOI
  28. Ablowitz, M. J., Curtis, C. W. & Ma, Y.-P. Linear and nonlinear traveling edge waves in optical honeycomb lattices. Phys. Rev. A 90, 023813, doi:10.1103/PhysRevA.90.023813 (2014). · DOI
  29. Leykam, D. & Chong, Y. D. Edge solitons in nonlinear-photonic topological insulators. Phys. Rev. Lett. 117, 143901, doi:10.1103/PhysRevLett.117.143901 (2016). · DOI · Paper page
  30. Kartashov, Y. V. & Skryabin, D. V. Modulational instability and solitary waves in polariton topological insulators. Optica 3, 1228, doi:10.1364/OPTICA.3.001228 (2016). · DOI
  31. Cerda-Méndez, E. A. et al. Exciton-polariton gap solitons in two-dimensional lattices. Phys. Rev. Lett. 111, 146401, doi:10.1103/PhysRevLett.111.146401 (2013). · DOI
  32. Solnyshkov, D. D., Bleu, O., Teklu, B. & Malpuech, G. Chirality of topological gap solitons in bosonic dimer chains. Phys. Rev. Lett. 118, 023901, doi:10.1103/PhysRevLett.118.023901 (2017). · DOI
  33. Rajaraman, R. Solitons and Instantons: An Introduction to Solitons and Instantons in Quantum Field Theory (Elsevier Science, 1987).
  34. de Vasconcellos, S. M. et al. Spatial, spectral, and polarization properties of coupled micropillar cavities. Appl. Phys. Lett. 99, 101103, doi:10.1063/1.3632111 (2011). · DOI
  35. Nalitov, A. V., Malpuech, G., Terças, H. & Solnyshkov, D. D. Spin-orbit coupling and the optical spin hall effect in photonic graphene. Phys. Rev. Lett. 114, 026803, doi:10.1103/PhysRevLett.114.026803 (2015). · DOI
  36. Sala, V. G. et al. Spin-orbit coupling for photons and polaritons in microstructures. Phys. Rev. X 5, 011034 (2015).
  37. Hasan, M. Z. & Kane, C. L. Colloquium: Topological insulators. Rev. Mod. Phys. 82, 3045–3067, doi:10.1103/RevModPhys.82.3045 (2010). · DOI · Paper page
  38. Fruchart, M. & Carpentier, D. An introduction to topological insulators. Comptes Rendus Physique 14, 779–815, doi:10.1016/j.crhy.2013.09.013 Topological insulators/Isolants topologiquesTopological insulators/Isolants topologiques (2013). · DOI
  39. Vladimirova, M. et al. Polarization controlled nonlinear transmission of light through semiconductor microcavities. Phys. Rev. B 79, 115325, doi:10.1103/PhysRevB.79.115325 (2009). · DOI
  40. Landau, L. D. & Lifshitz, L. M. Quantum Mechanics, Third Edition: Non-Relativistic Theory (Volume 3) (Pregamon Press, 1977).
  41. Ablowitz, M. J. Nonlinear Dispersive Waves: Asymptotic Analysis and Solitons (Cambridge University Press, 2011). · DOI
  42. Milićević, M. et al. Edge states in polariton honeycomb lattices. 2D Materials 2, 034012, doi:10.1088/2053-1583/2/3/034012 (2015). · DOI · Paper page
  43. Galbiati, M. et al. Polariton condensation in photonic molecules. Phys. Rev. Lett. 108, 126403, doi:10.1103/PhysRevLett.108.126403 (2012). · DOI
  44. Abbarchi, M. et al. Macroscopic quantum self-trapping and josephson oscillations of exciton polaritons. Nature Physics 9, 275–279, doi:10.1038/nphys2609 (2013). · DOI
  45. Dufferwiel, S. et al. Tunable polaritonic molecules in an open microcavity system. Applied Physics Letters 107, 201106, doi:10.1063/1.4936092 (2015). · DOI
  46. Kuwata-Gonokami, M. et al. Parametric scattering of cavity polaritons. Phys. Rev. Lett. 79, 1341–1344, doi:10.1103/PhysRevLett.79.1341 (1997). · DOI
  47. Savvidis, P. G. et al. Angle-resonant stimulated polariton amplifier. Phys. Rev. Lett. 84, 1547–1550, doi:10.1103/PhysRevLett.84.1547 (2000). · DOI
  48. Ciuti, C., Schwendimann, P. & Quattropani, A. Parametric luminescence of microcavity polaritons. Phys. Rev. B 63, 041303–5, doi:10.1103/PhysRevLett.84.1752 (2001). · DOI
  49. Dasbach, G., Schwab, M., Bayer, M. & Forchel, A. Parametric polariton scattering in microresonators with three-dimensional optical confinement. Phys. Rev. B 64, 201309, doi:10.1103/PhysRevB.64.201309 (2001). · DOI
  50. Tartakovskii, A. I. et al. Polariton parametric scattering processes in semiconductor microcavities observed in continuous wave experiments. Phys. Rev. B 65, 081308, doi:10.1103/PhysRevB.65.081308 (2002). · DOI

Cited by

Sorted by citations

See all 87

Metadata

Authors
Gulevich, D. R., Yudin, D., Skryabin, D. V., Iorsh, I. V., & Shelykh, I. A.
Venue
Scientific Reports
Publisher
Springer Science and Business Media LLC
Published
2017-05-11
Volume
7
Issue
1
ISSN
2045-2322
DOI
10.1038/s41598-017-01646-y
PMC
PMC5431788
Cited by
87
References
6
Language
en
Licence

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review